\(A ( g ) \rightarrow 2 B ( g )+ C ( g )\) is a first order reaction. The initial pressure of the system was found to be…

\(A ( g ) \rightarrow 2 B ( g )+ C ( g )\) is a first order reaction. The initial pressure of the system was found to be \(800 ~mm Hg\) which increased to \(1600 ~mm Hg\) after \(\mathrm{10 ~min}\). The total pressure of the system after \(\mathrm{30 ~min}\) will be ___\(~mm Hg\) (Nearest integer)

[JEE Main 2023, 13 Apr (Shift 2)]